Question

A magnetic field of `1600Am^-1` produces a magnetic flux of `2*4xx10^-5` weber in a bar of iron of cross section `0*2cm^2`. Calculate permeability and susceptibility of the bar.

Answer 1

Here, `H=1600Am^-1`,
`phi=2*4xx10^-5Wb`.
`a=0*2cm^2=0*2xx10^-4m^2, mu=?, chi_m=?`
`B=(phi)/(a)=(2*4xx10^-5)/(0*2xx10^-4)=1*2 weber//m^2`
`mu=B/H=(1*2)/(1600)=7*5xx10^-4TA^-1m`
As `mu=mu_0(1+chi_m)`
`:. chi_m=(mu)/(mu_0)-1=(7*5xx10^-4)/(4pixx10^-7)-1`
`chi_m=(7*5xx10^3)/(4pi)-1=597*1=596*1`